Abstract

In this paper, a new network and then a corresponding constitutive model of rubber-like materials are proposed. The materials are assumed to be composed of equal-length helical subnetworks which can slide along their occupied space. According to equivalence of external force, the network of this kind of materials is simplified to a sample network which only has subnetworks in three principal directions. By virtue of chain force calculated from Boltzmann's equation, the expression of principal stress is derived according to the network structure. The model is fitted to experimental data and compared with other models, which show the model can describe rubber-like materials well. The proposed network structure and corresponding constitutive model can also give reasonable explanations of the Ogden model and the Arruda-Boyce model.

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